Estimates for the variable order Riesz potential with applications

DOI10.1515/9783110792720-006arXiv2111.10141OpenAlexW3217265171MaRDI QIDQ6060177

Ritva Hurri-Syrjänen, Petteri Harjulehto

Publication date: 3 November 2023

Published in: Potentials and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.10141

zbMATH Keywords

Poincaré inequalitypointwise estimateRiesz potentialexponential integrabilityvariable exponentHausdorff contentnonsmooth domain

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Potentials and capacities on other spaces (31C15)